Accelerated derivative‐free method for nonlinear monotone equations with an application
In optimization theory, to speed up the convergence of iterative procedures, many mathematicians often use the inertial extrapolation method. In this article, based on the three‐term derivative‐free method for solving monotone nonlinear equations with convex constraints [Calcolo, 2016;53(2):133‐145]...
Saved in:
| Published in: | Numerical linear algebra with applications Vol. 29; no. 3 |
|---|---|
| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Oxford
Wiley Subscription Services, Inc
01.05.2022
|
| Subjects: | |
| ISSN: | 1070-5325, 1099-1506 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | In optimization theory, to speed up the convergence of iterative procedures, many mathematicians often use the inertial extrapolation method. In this article, based on the three‐term derivative‐free method for solving monotone nonlinear equations with convex constraints [Calcolo, 2016;53(2):133‐145], we design an inertial algorithm for finding the solutions of nonlinear equation with monotone and Lipschitz continuous operator. The convergence analysis is established under some mild conditions. Furthermore, numerical experiments are implemented to illustrate the behavior of the new algorithm. The numerical results have shown the effectiveness and fast convergence of the proposed inertial algorithm over the existing algorithm. Moreover, as an application, we extend this method to solve the LASSO problem to decode a sparse signal in compressive sensing. Performance comparisons illustrate the effectiveness and competitiveness of the method. |
|---|---|
| AbstractList | In optimization theory, to speed up the convergence of iterative procedures, many mathematicians often use the inertial extrapolation method. In this article, based on the three‐term derivative‐free method for solving monotone nonlinear equations with convex constraints [Calcolo, 2016;53(2):133‐145], we design an inertial algorithm for finding the solutions of nonlinear equation with monotone and Lipschitz continuous operator. The convergence analysis is established under some mild conditions. Furthermore, numerical experiments are implemented to illustrate the behavior of the new algorithm. The numerical results have shown the effectiveness and fast convergence of the proposed inertial algorithm over the existing algorithm. Moreover, as an application, we extend this method to solve the LASSO problem to decode a sparse signal in compressive sensing. Performance comparisons illustrate the effectiveness and competitiveness of the method. In optimization theory, to speed up the convergence of iterative procedures, many mathematicians often use the inertial extrapolation method. In this article, based on the three‐term derivative‐free method for solving monotone nonlinear equations with convex constraints [ Calcolo , 2016;53(2):133‐145], we design an inertial algorithm for finding the solutions of nonlinear equation with monotone and Lipschitz continuous operator. The convergence analysis is established under some mild conditions. Furthermore, numerical experiments are implemented to illustrate the behavior of the new algorithm. The numerical results have shown the effectiveness and fast convergence of the proposed inertial algorithm over the existing algorithm. Moreover, as an application, we extend this method to solve the LASSO problem to decode a sparse signal in compressive sensing. Performance comparisons illustrate the effectiveness and competitiveness of the method. |
| Author | Hassan Ibrahim, Abdulkarim Kumam, Poom Adamu, Abubakar Bala Abubakar, Auwal |
| Author_xml | – sequence: 1 givenname: Abdulkarim orcidid: 0000-0001-5534-1759 surname: Hassan Ibrahim fullname: Hassan Ibrahim, Abdulkarim organization: King Mongkut's University of Technology Thonburi (KMUTT) – sequence: 2 givenname: Poom orcidid: 0000-0002-5463-4581 surname: Kumam fullname: Kumam, Poom email: poom.kum@kmutt.ac.th organization: China Medical University – sequence: 3 givenname: Auwal orcidid: 0000-0002-6142-3694 surname: Bala Abubakar fullname: Bala Abubakar, Auwal organization: Sefako Makgatho Health Sciences University – sequence: 4 givenname: Abubakar orcidid: 0000-0002-1916-3876 surname: Adamu fullname: Adamu, Abubakar organization: African University of Science and Technology |
| BookMark | eNp1kE1OwzAQhS0EEm1B4giW2LBJsZ04sZdVxZ9UwQYWrCLHHquuUjt10lbdcQTOyElIW1YIVjMafe89zRuiUx88IHRFyZgSwm59rcYsY9kJGlAiZUI5yU_3e0ESnjJ-joZtuyCE5FymA_Q-0RpqiKoDgw1Et1Gd28DXx6eNAHgJ3TwYbEPEfU7tPKiIl8GHrk_FsFr3dPAt3rpujpXHqmlqpw_HC3RmVd3C5c8cobf7u9fpYzJ7eXiaTmaJZjLNEmE1Y0SCTQXlShpa0bQSTHFGjbS8gqqoeGaggBwEYUZoZimpAJgQ0hqWjtD10beJYbWGtisXYR19H1myPONFLniW9dTNkdIxtG0EWzbRLVXclZSU--LKvrhyX1yPjn-h2nWHl7qoXP2XIDkKtq6G3b_G5fNscuC_AQvkgtU |
| CitedBy_id | crossref_primary_10_1007_s40314_024_02673_y crossref_primary_10_1007_s12215_025_01212_w crossref_primary_10_1002_nla_2533 crossref_primary_10_1002_nla_2589 crossref_primary_10_1007_s11067_024_09653_z crossref_primary_10_1007_s40314_022_02019_6 crossref_primary_10_1186_s13663_023_00741_2 crossref_primary_10_1007_s40314_022_02064_1 crossref_primary_10_1051_ro_2025022 crossref_primary_10_1002_nla_2471 crossref_primary_10_1007_s12190_025_02525_w crossref_primary_10_1007_s11075_025_02034_8 crossref_primary_10_1007_s11075_023_01679_7 crossref_primary_10_1007_s12190_023_01960_x |
| Cites_doi | 10.1007/s10092-018-0291-2 10.1051/ro/2020008 10.1093/imanum/drq015 10.1016/j.matcom.2021.05.038 10.1090/S0025-5718-1974-0343581-1 10.3390/math8050818 10.1016/j.heliyon.2020.e03466 10.1007/s101070100263 10.1109/ACCESS.2021.3053141 10.1023/A:1008607511915 10.1016/j.matcom.2021.07.005 10.1080/10556789508805619 10.1186/s13663-020-0670-7 10.1007/s11075-018-0541-z 10.3390/math8040602 10.1007/s10092-015-0140-5 10.1080/00207160.2021.1946043 10.1090/S0025-5718-08-02121-2 10.1137/S1052623403427859 10.1016/j.camwa.2015.09.014 10.1016/0041-5553(64)90137-5 10.1109/JSTSP.2007.910281 10.37193/CJM.2021.03.02 10.1016/j.apnum.2009.04.004 10.37193/CJM.2021.03.01 10.1080/10556780701223293 10.22436/jmcs.024.02.06 10.1137/S0363012997317475 10.1186/s13663-020-00678-w 10.1007/s11075-017-0299-8 10.3390/math8040609 10.1137/S0036142998335704 10.1016/j.heliyon.2020.e05400 10.3934/naco.2021022 10.1016/j.asej.2020.11.009 10.1109/ACCESS.2020.3020969 10.1007/s10957-004-1721-7 10.1016/j.jmaa.2013.04.017 10.1007/s40314-018-0712-5 10.3934/math.2021383 10.3934/math.2021016 10.1007/s40314-020-01151-5 10.1109/TIT.2008.924688 |
| ContentType | Journal Article |
| Copyright | 2021 John Wiley & Sons Ltd. 2022 John Wiley & Sons, Ltd. |
| Copyright_xml | – notice: 2021 John Wiley & Sons Ltd. – notice: 2022 John Wiley & Sons, Ltd. |
| DBID | AAYXX CITATION 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1002/nla.2424 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts CrossRef |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1099-1506 |
| EndPage | n/a |
| ExternalDocumentID | 10_1002_nla_2424 NLA2424 |
| Genre | article |
| GrantInformation_xml | – fundername: King Mongkut's University of Technology Thonburi – fundername: Center of Excellence in Theoretical and Computational Science (TaCS‐CoE), KMUTT – fundername: National Council of Thailand (NRCT) |
| GroupedDBID | -~X .3N .4S .DC .GA .Y3 05W 0R~ 10A 123 1L6 1OB 1OC 1ZS 31~ 33P 3SF 3WU 4.4 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5VS 66C 702 7PT 8-0 8-1 8-3 8-4 8-5 8UM 930 A03 AAESR AAEVG AAHHS AAHQN AAMNL AANHP AANLZ AAONW AASGY AAXRX AAYCA AAZKR ABCQN ABCUV ABEFU ABEML ABIJN ABPVW ACAHQ ACBWZ ACCFJ ACCZN ACGFS ACPOU ACRPL ACSCC ACXBN ACXQS ACYXJ ADBBV ADEOM ADIZJ ADKYN ADMGS ADNMO ADOZA ADXAS ADZMN AEEZP AEIGN AEIMD AENEX AEQDE AEUQT AEUYR AFBPY AFFPM AFGKR AFPWT AFWVQ AFZJQ AHBTC AITYG AIURR AIWBW AJBDE AJXKR ALAGY ALMA_UNASSIGNED_HOLDINGS ALUQN ALVPJ AMBMR AMYDB ARCSS ASPBG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BDRZF BFHJK BHBCM BMNLL BMXJE BNHUX BROTX BRXPI BY8 CS3 D-E D-F DCZOG DPXWK DR2 DRFUL DRSTM DU5 EBS EDO EJD F00 F01 F04 FEDTE G-S G.N GBZZK GNP GODZA H.T H.X HBH HF~ HGLYW HHY HVGLF HZ~ IX1 J0M JPC KQQ LATKE LAW LC2 LC3 LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LW6 LYRES M6O MEWTI MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 N9A NF~ O66 O9- OIG P2P P2W P2X P4D PALCI PQQKQ Q.N Q11 QB0 QRW R.K RIWAO RJQFR ROL RWI RWS RX1 RYL SAMSI SUPJJ TUS UB1 V2E W8V W99 WBKPD WIB WIH WIK WOHZO WQJ WRC WXSBR WYISQ XBAML XG1 XPP XV2 ZZTAW ~IA ~WT AAMMB AAYXX AEFGJ AEYWJ AGHNM AGQPQ AGXDD AGYGG AIDQK AIDYY AIQQE AMVHM CITATION O8X 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c2934-8fc2209ef3815a9d1b13b82a521d9f5beb7b54de7e6e802d8c2f10bee2889fd23 |
| IEDL.DBID | DRFUL |
| ISICitedReferencesCount | 34 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000722181600001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1070-5325 |
| IngestDate | Fri Jul 25 11:54:36 EDT 2025 Tue Nov 18 22:32:54 EST 2025 Sat Nov 29 05:31:59 EST 2025 Wed Jan 22 16:26:28 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c2934-8fc2209ef3815a9d1b13b82a521d9f5beb7b54de7e6e802d8c2f10bee2889fd23 |
| Notes | Funding information Center of Excellence in Theoretical and Computational Science (TaCS‐CoE), KMUTT, King Mongkut's University of Technology Thonburi, National Council of Thailand (NRCT) ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-5463-4581 0000-0002-6142-3694 0000-0001-5534-1759 0000-0002-1916-3876 |
| PQID | 2645768544 |
| PQPubID | 2034341 |
| PageCount | 27 |
| ParticipantIDs | proquest_journals_2645768544 crossref_primary_10_1002_nla_2424 crossref_citationtrail_10_1002_nla_2424 wiley_primary_10_1002_nla_2424_NLA2424 |
| PublicationCentury | 2000 |
| PublicationDate | May 2022 2022-05-00 20220501 |
| PublicationDateYYYYMMDD | 2022-05-01 |
| PublicationDate_xml | – month: 05 year: 2022 text: May 2022 |
| PublicationDecade | 2020 |
| PublicationPlace | Oxford |
| PublicationPlace_xml | – name: Oxford |
| PublicationTitle | Numerical linear algebra with applications |
| PublicationYear | 2022 |
| Publisher | Wiley Subscription Services, Inc |
| Publisher_xml | – name: Wiley Subscription Services, Inc |
| References | 2021; 9 2021; 6 2021; 26 2015; 70 2013; 405 1964; 4 2020; 39 2009 2011; 31 2022; 24 2016; 53 2007 2019; 18 2008; 54 2008; 77 2020; 54 2021; 0 1995; 5 2020; 18 2020; 8 1987; 22 2020; 6 2021; 37 2004; 75 2020; 4 2019; 81 2020; 2020 2021 2005; 125 2004; 14 2017; 76 1999; 37 1999; 12 2020; 21 2002; 91 2018; 55 2007; 1 2007; 22 2018; 37 2009; 59 2021; 2021 1974; 28 e_1_2_9_31_1 e_1_2_9_52_1 Ibrahim AH (e_1_2_9_34_1) 2021 e_1_2_9_10_1 e_1_2_9_35_1 e_1_2_9_56_1 e_1_2_9_33_1 e_1_2_9_54_1 Abubakar J (e_1_2_9_44_1) 2019; 18 Facchinei F (e_1_2_9_50_1) 2007 Abubakar AB (e_1_2_9_23_1) 2021 Abubakar AB (e_1_2_9_30_1) 2021; 2021 e_1_2_9_14_1 e_1_2_9_39_1 Adamu A (e_1_2_9_46_1) 2021; 26 e_1_2_9_37_1 e_1_2_9_58_1 e_1_2_9_18_1 e_1_2_9_41_1 e_1_2_9_20_1 e_1_2_9_62_1 e_1_2_9_45_1 e_1_2_9_43_1 e_1_2_9_8_1 Chidume CE (e_1_2_9_47_1) 2020; 18 e_1_2_9_6_1 Meintjes K (e_1_2_9_2_1) 1987; 22 e_1_2_9_4_1 e_1_2_9_60_1 e_1_2_9_26_1 e_1_2_9_49_1 e_1_2_9_28_1 Ibrahim AH (e_1_2_9_15_1) 2020; 21 e_1_2_9_51_1 e_1_2_9_57_1 e_1_2_9_13_1 e_1_2_9_32_1 e_1_2_9_55_1 Ibrahim AH (e_1_2_9_11_1) 2019; 18 Abubakar AB (e_1_2_9_22_1) 2021 Abubakar AB (e_1_2_9_12_1) 2020; 18 Takahashi W (e_1_2_9_48_1) 2009 Sun M (e_1_2_9_63_1) 2020; 2020 Ibrahim AH (e_1_2_9_24_1) 2020; 18 e_1_2_9_38_1 e_1_2_9_17_1 e_1_2_9_36_1 e_1_2_9_59_1 e_1_2_9_19_1 Cruz WL (e_1_2_9_53_1) 2004; 75 e_1_2_9_42_1 e_1_2_9_40_1 e_1_2_9_61_1 e_1_2_9_21_1 e_1_2_9_7_1 e_1_2_9_5_1 e_1_2_9_3_1 Abubakar AB (e_1_2_9_16_1) 2020; 4 e_1_2_9_9_1 e_1_2_9_25_1 e_1_2_9_27_1 e_1_2_9_29_1 |
| References_xml | – volume: 4 start-page: 1 year: 2020 end-page: 24 article-title: A modified descent Dai‐Yuan conjugate gradient method for constraint nonlinear monotone operator equations publication-title: Appl Math Optim – year: 2021 article-title: A modified Liu‐Storey‐Conjugate descent hybrid projection method for convex constrained nonlinear equations and image restoration publication-title: Numer Algebra Control Optim – volume: 8 start-page: 162714 year: 2020 end-page: 29 article-title: A family of derivative‐free conjugate gradient methods for constrained nonlinear equations and image restoration publication-title: IEEE Access – volume: 18 start-page: 166 issue: 1 year: 2019 end-page: 87 article-title: An accelerated subgradient extragradient algorithm for strongly pseudomonotone variational inequality problems publication-title: Thai J Math – year: 2009 – volume: 4 start-page: 1 issue: 5 year: 1964 end-page: 17 article-title: Some methods of speeding up the convergence of iteration methods publication-title: USSR Comput Math Math Phys – volume: 37 start-page: 152 issue: 1 year: 1999 end-page: 72 article-title: A globally and superlinearly convergent Gauss–Newton‐based BFGS method for symmetric nonlinear equations publication-title: SIAM J Numer Anal – year: 2021 article-title: A three‐term Polak‐Ribière‐Polyak derivative‐free method and its application to image restoration publication-title: Sci Afr – volume: 6 start-page: 6506 issue: 6 year: 2021 end-page: 27 article-title: A hybrid FR‐DY conjugate gradient algorithm for unconstrained optimization with application in portfolio selection publication-title: AIMS Math – volume: 26 issue: 2 year: 2021 article-title: Approximation of zeros of sum of monotone mappings with applications to variational inequality and image restoration problems publication-title: Nonlinear Funct Anal – volume: 53 start-page: 133 issue: 2 year: 2016 end-page: 45 article-title: A self‐adaptive three‐term conjugate gradient method for monotone nonlinear equations with convex constraints publication-title: Calcolo – volume: 39 start-page: 1 issue: 2 year: 2020 end-page: 35 article-title: A note on the spectral gradient projection method for nonlinear monotone equations with applications publication-title: Comput Appl Math – volume: 54 start-page: 489 issue: 2 year: 2020 end-page: 505 article-title: A descent derivative‐free algorithm for nonlinear monotone equations with convex constraints publication-title: Rairo‐Oper Res – volume: 37 start-page: 361 issue: 3 year: 2021 end-page: 80 article-title: An inertial iterative scheme for solving variational inclusion with application to Nash‐Cournot equilibrium and image restoration problems publication-title: Carpathian J Math – volume: 9 start-page: 18262 year: 2021 end-page: 77 article-title: A new three‐term hestenes‐stiefel type method for nonlinear monotone operator equations and image restoration publication-title: IEEE Access – volume: 125 start-page: 205 issue: 1 year: 2005 end-page: 21 article-title: Superlinear convergence of a Newton‐type algorithm for monotone equations publication-title: J Optim Theory Appl – volume: 6 issue: 3 year: 2020 article-title: A hybrid conjugate gradient algorithm for constrained monotone equations with application in compressive sensing publication-title: Heliyon – volume: 1 start-page: 586 issue: 4 year: 2007 end-page: 97 article-title: Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems publication-title: IEEE J Sel Top Signal Process – volume: 21 start-page: 1959 issue: 9 year: 2020 end-page: 72 article-title: Derivative‐free conjugate residual algorithms for convex constraints nonlinear monotone equations and signal recovery publication-title: J Nonlinear Convex Anal – volume: 22 start-page: 697 issue: 4 year: 2007 end-page: 711 article-title: Some descent three‐term conjugate gradient methods and their global convergence publication-title: Optim Methods Softw – year: 2021 article-title: A hybrid conjugate gradient based approach for solving unconstrained optimization and motion control problems publication-title: Math Comput Simul – volume: 18 start-page: 2013 issue: 4 year: 2020 end-page: 22 article-title: Spectral conjugate gradient like method for signal reconstruction publication-title: Thai J Math – volume: 77 start-page: 2231 issue: 264 year: 2008 end-page: 40 article-title: A globally convergent BFGS method for nonlinear monotone equations without any merit functions publication-title: Math Comput – volume: 59 start-page: 2416 issue: 10 year: 2009 end-page: 23 article-title: Spectral gradient projection method for monotone nonlinear equations with convex constraints publication-title: Appl Numer Math – volume: 5 start-page: 319 issue: 4 year: 1995 end-page: 45 article-title: MCPLIB: A collection of nonlinear mixed complementarity problems publication-title: Optim Methods Softw – volume: 405 start-page: 310 issue: 1 year: 2013 end-page: 9 article-title: A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing publication-title: J Math Anal Appl – volume: 2020 start-page: 1 issue: 1 year: 2020 end-page: 23 article-title: Iterative algorithms for solutions of Hammerstein equations in real Banach spaces publication-title: Fixed Point Theory Appl – volume: 12 start-page: 31 year: 1999 end-page: 40 article-title: A logarithmic‐quadratic proximal method for variational inequalities publication-title: Comput Optim Appl – volume: 18 start-page: 501 issue: 1 year: 2020 end-page: 17 article-title: Spectral three‐term conjugate descent method for solving nonlinear monotone equations with convex constraints publication-title: Thai J Math – start-page: 1 year: 2021 end-page: 18 article-title: PRP‐like algorithm for monotone operator equations publication-title: Jpn J Ind Appl Math – volume: 28 start-page: 549 issue: 126 year: 1974 end-page: 60 article-title: A characterization of superlinear convergence and its application to Quasi‐Newton methods publication-title: Math Comput – volume: 55 start-page: 1 issue: 4 year: 2018 end-page: 17 article-title: An efficient three‐term conjugate gradient method for nonlinear monotone equations with convex constraints publication-title: Calcolo – volume: 8 start-page: 818 issue: 5 year: 2020 article-title: Relaxed inertial Tseng's type method for solving the inclusion problem with application to image restoration publication-title: Mathematics – start-page: 1 year: 2021 end-page: 10 article-title: FR‐type algorithm for finding approximate solutions to nonlinear monotone operator equations publication-title: Arab J Math – volume: 37 start-page: 765 issue: 3 year: 1999 end-page: 76 article-title: A new projection method for variational inequality problems publication-title: SIAM J Control Optim – year: 2007 – volume: 2020 year: 2020 article-title: Two improved conjugate gradient methods with application in compressive sensing and motion control publication-title: Math Probl Eng – volume: 6 issue: 11 year: 2020 article-title: Derivative‐free HS‐DY‐type method for solving nonlinear equations and image restoration publication-title: Heliyon – volume: 70 start-page: 2442 issue: 10 year: 2015 end-page: 53 article-title: A projection method for convex constrained monotone nonlinear equations with applications publication-title: Comput Math Appl – volume: 91 start-page: 201 issue: 2 year: 2002 end-page: 13 article-title: Benchmarking optimization software with performance profiles publication-title: Math Program – volume: 8 start-page: 609 issue: 4 year: 2020 article-title: Inertial iterative schemes with variable step sizes for variational inequality problem involving pseudomonotone operator publication-title: Mathematics – volume: 2020 start-page: 1 issue: 1 year: 2020 end-page: 17 article-title: A hybrid inertial algorithm for approximating solution of convex feasibility problems with applications publication-title: Fixed Point Theory Appl – volume: 81 start-page: 197 issue: 1 year: 2019 end-page: 210 article-title: A descent Dai‐Liao conjugate gradient method for nonlinear equations publication-title: Numer Algorithms – volume: 22 start-page: 333 issue: 4 year: 1987 end-page: 61 article-title: A methodology for solving chemical equilibrium systems publication-title: Appl Math Comput – volume: 6 start-page: 235 issue: 1 year: 2020 article-title: An efficient gradient‐free projection algorithm for constrained nonlinear equations and image restoration publication-title: AIMS Math – volume: 37 start-page: 6760 issue: 5 year: 2018 end-page: 73 article-title: An improved three‐term derivative‐free method for solving nonlinear equations publication-title: Comput Appl Math – volume: 8 start-page: 602 issue: 4 year: 2020 article-title: Least‐square‐based three‐term conjugate gradient projection method for ‐norm problems with application to compressed sensing publication-title: Mathematics – volume: 2021 year: 2021 article-title: A modified scaled spectral‐conjugate gradient‐based algorithm for solving monotone operator equations publication-title: J Undergrad Math – volume: 54 start-page: 2829 issue: 7 year: 2008 end-page: 40 article-title: Highly robust error correction byconvex programming publication-title: IEEE Trans Inf Theory – volume: 76 start-page: 1109 issue: 4 year: 2017 end-page: 30 article-title: A spectral algorithm for large‐scale systems of nonlinear monotone equations publication-title: Numer Algorithms – volume: 37 start-page: 381 issue: 3 year: 2021 end-page: 92 article-title: Approximation of solutions of split equality fixed point problems with applications publication-title: Carpathian J Math – volume: 75 start-page: 1429 issue: 255 year: 2004 end-page: 1448 article-title: Spectral residual method without gradient information for solving large‐scale nonlinear systems publication-title: Theor Exp – volume: 24 start-page: 147 issue: 2 year: 2022 end-page: 64 article-title: Derivative‐free SMR conjugate gradient method for con‐straint nonlinear equations publication-title: J Math Comput SCI‐JM – volume: 18 start-page: 212 issue: 1 year: 2019 end-page: 32 article-title: Derivative‐free RMIL conjugate gradient method for convex constrained equations publication-title: Thai J Math – volume: 18 start-page: 1537 issue: 3 year: 2020 end-page: 48 article-title: Strong convergence theorem for some nonexpansive‐type mappings in certain Banach spaces publication-title: Thai J Math – year: 2021 article-title: New hybrid three‐term spectral‐conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications publication-title: Math Comput Simul – volume: 31 start-page: 1625 issue: 4 year: 2011 end-page: 35 article-title: A class of derivative‐free methods for large‐scale nonlinear monotone equations publication-title: IMA J Numer Anal – year: 2021 article-title: Re‐modified derivative‐free iterative method for nonlinear monotone equations with convex constraints publication-title: Ain Shams Eng J – volume: 14 start-page: 773 issue: 3 year: 2004 end-page: 82 article-title: Weak convergence of a relaxed and inertial hybrid projection‐proximal point algorithm for maximal monotone operators in Hilbert space publication-title: SIAM J Control Optim – volume: 0 start-page: 1 issue: ja year: 2021 end-page: 22 article-title: A derivative‐free three‐term Hestenes‐Stiefel type method for constrained nonlinear equations and image restoration publication-title: Int J Comput Math – volume: 18 start-page: 166 issue: 1 year: 2019 ident: e_1_2_9_44_1 article-title: An accelerated subgradient extragradient algorithm for strongly pseudomonotone variational inequality problems publication-title: Thai J Math – ident: e_1_2_9_52_1 doi: 10.1007/s10092-018-0291-2 – ident: e_1_2_9_29_1 doi: 10.1051/ro/2020008 – volume: 2021 year: 2021 ident: e_1_2_9_30_1 article-title: A modified scaled spectral‐conjugate gradient‐based algorithm for solving monotone operator equations publication-title: J Undergrad Math – ident: e_1_2_9_54_1 doi: 10.1093/imanum/drq015 – ident: e_1_2_9_9_1 doi: 10.1016/j.matcom.2021.05.038 – volume: 18 start-page: 501 issue: 1 year: 2020 ident: e_1_2_9_12_1 article-title: Spectral three‐term conjugate descent method for solving nonlinear monotone equations with convex constraints publication-title: Thai J Math – start-page: e00880 year: 2021 ident: e_1_2_9_34_1 article-title: A three‐term Polak‐Ribière‐Polyak derivative‐free method and its application to image restoration publication-title: Sci Afr – ident: e_1_2_9_4_1 doi: 10.1090/S0025-5718-1974-0343581-1 – volume: 21 start-page: 1959 issue: 9 year: 2020 ident: e_1_2_9_15_1 article-title: Derivative‐free conjugate residual algorithms for convex constraints nonlinear monotone equations and signal recovery publication-title: J Nonlinear Convex Anal – ident: e_1_2_9_42_1 doi: 10.3390/math8050818 – ident: e_1_2_9_13_1 doi: 10.1016/j.heliyon.2020.e03466 – ident: e_1_2_9_59_1 doi: 10.1007/s101070100263 – volume-title: Introduction to nonlinear and convex analysis year: 2009 ident: e_1_2_9_48_1 – ident: e_1_2_9_20_1 doi: 10.1109/ACCESS.2021.3053141 – ident: e_1_2_9_49_1 doi: 10.1023/A:1008607511915 – ident: e_1_2_9_33_1 doi: 10.1016/j.matcom.2021.07.005 – ident: e_1_2_9_3_1 doi: 10.1080/10556789508805619 – ident: e_1_2_9_41_1 doi: 10.1186/s13663-020-0670-7 – volume: 18 start-page: 1537 issue: 3 year: 2020 ident: e_1_2_9_47_1 article-title: Strong convergence theorem for some nonexpansive‐type mappings in certain Banach spaces publication-title: Thai J Math – ident: e_1_2_9_26_1 doi: 10.1007/s11075-018-0541-z – start-page: 1 year: 2021 ident: e_1_2_9_22_1 article-title: FR‐type algorithm for finding approximate solutions to nonlinear monotone operator equations publication-title: Arab J Math – volume: 18 start-page: 2013 issue: 4 year: 2020 ident: e_1_2_9_24_1 article-title: Spectral conjugate gradient like method for signal reconstruction publication-title: Thai J Math – volume: 75 start-page: 1429 issue: 255 year: 2004 ident: e_1_2_9_53_1 article-title: Spectral residual method without gradient information for solving large‐scale nonlinear systems publication-title: Theor Exp – ident: e_1_2_9_57_1 – ident: e_1_2_9_14_1 doi: 10.3390/math8040602 – ident: e_1_2_9_36_1 doi: 10.1007/s10092-015-0140-5 – ident: e_1_2_9_32_1 doi: 10.1080/00207160.2021.1946043 – ident: e_1_2_9_58_1 doi: 10.1016/j.heliyon.2020.e03466 – ident: e_1_2_9_7_1 doi: 10.1090/S0025-5718-08-02121-2 – ident: e_1_2_9_38_1 doi: 10.1137/S1052623403427859 – ident: e_1_2_9_51_1 doi: 10.1016/j.camwa.2015.09.014 – ident: e_1_2_9_37_1 doi: 10.1016/0041-5553(64)90137-5 – ident: e_1_2_9_61_1 doi: 10.1109/JSTSP.2007.910281 – ident: e_1_2_9_39_1 doi: 10.37193/CJM.2021.03.02 – volume: 26 issue: 2 year: 2021 ident: e_1_2_9_46_1 article-title: Approximation of zeros of sum of monotone mappings with applications to variational inequality and image restoration problems publication-title: Nonlinear Funct Anal – ident: e_1_2_9_56_1 doi: 10.1016/j.apnum.2009.04.004 – ident: e_1_2_9_45_1 doi: 10.37193/CJM.2021.03.01 – start-page: 1 year: 2021 ident: e_1_2_9_23_1 article-title: PRP‐like algorithm for monotone operator equations publication-title: Jpn J Ind Appl Math – volume: 18 start-page: 212 issue: 1 year: 2019 ident: e_1_2_9_11_1 article-title: Derivative‐free RMIL conjugate gradient method for convex constrained equations publication-title: Thai J Math – ident: e_1_2_9_35_1 doi: 10.1080/10556780701223293 – ident: e_1_2_9_21_1 doi: 10.22436/jmcs.024.02.06 – volume: 2020 year: 2020 ident: e_1_2_9_63_1 article-title: Two improved conjugate gradient methods with application in compressive sensing and motion control publication-title: Math Probl Eng – ident: e_1_2_9_10_1 doi: 10.1137/S0363012997317475 – volume: 4 start-page: 1 year: 2020 ident: e_1_2_9_16_1 article-title: A modified descent Dai‐Yuan conjugate gradient method for constraint nonlinear monotone operator equations publication-title: Appl Math Optim – ident: e_1_2_9_40_1 doi: 10.1186/s13663-020-00678-w – ident: e_1_2_9_55_1 doi: 10.1007/s11075-017-0299-8 – ident: e_1_2_9_43_1 doi: 10.3390/math8040609 – ident: e_1_2_9_5_1 doi: 10.1137/S0036142998335704 – ident: e_1_2_9_17_1 doi: 10.1016/j.heliyon.2020.e05400 – ident: e_1_2_9_31_1 doi: 10.3934/naco.2021022 – ident: e_1_2_9_25_1 doi: 10.1016/j.asej.2020.11.009 – ident: e_1_2_9_18_1 doi: 10.1109/ACCESS.2020.3020969 – ident: e_1_2_9_6_1 doi: 10.1007/s10957-004-1721-7 – ident: e_1_2_9_62_1 doi: 10.1016/j.jmaa.2013.04.017 – ident: e_1_2_9_27_1 doi: 10.1007/s40314-018-0712-5 – ident: e_1_2_9_8_1 doi: 10.3934/math.2021383 – ident: e_1_2_9_19_1 doi: 10.3934/math.2021016 – volume-title: Finite‐dimensional variational inequalities and complementarity problems year: 2007 ident: e_1_2_9_50_1 – volume: 22 start-page: 333 issue: 4 year: 1987 ident: e_1_2_9_2_1 article-title: A methodology for solving chemical equilibrium systems publication-title: Appl Math Comput – ident: e_1_2_9_28_1 doi: 10.1007/s40314-020-01151-5 – ident: e_1_2_9_60_1 doi: 10.1109/TIT.2008.924688 |
| SSID | ssj0006593 |
| Score | 2.4381716 |
| Snippet | In optimization theory, to speed up the convergence of iterative procedures, many mathematicians often use the inertial extrapolation method. In this article,... |
| SourceID | proquest crossref wiley |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| SubjectTerms | Algorithms Convergence derivative‐free method inertial algorithm iterative method Iterative methods Nonlinear equations Operators (mathematics) Optimization Performance assessment projection method |
| Title | Accelerated derivative‐free method for nonlinear monotone equations with an application |
| URI | https://onlinelibrary.wiley.com/doi/abs/10.1002%2Fnla.2424 https://www.proquest.com/docview/2645768544 |
| Volume | 29 |
| WOSCitedRecordID | wos000722181600001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVWIB databaseName: Wiley Online Library - Journals customDbUrl: eissn: 1099-1506 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0006593 issn: 1070-5325 databaseCode: DRFUL dateStart: 19960101 isFulltext: true titleUrlDefault: https://onlinelibrary.wiley.com providerName: Wiley-Blackwell |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpZ3LSgMxFIaDti504V2sVokguhqdZCaTZFnU4qIWEQt1NeQKQqk6U7v2EXxGn8RkLrWCguBqFkkgJOfkP8kk3wHgWGshYouSgDqtcRuUUAbcKh0gjJGmKiJW2iLZBO332XDIb6tblf4tTMmHmB24ec8o1mvv4ELm53PQ0JE4828bFkETO7MlDdC8vOsOerN1OCmRu25_EwYkwqRGz4b4vG77XYy-Isz5OLUQmu7af7q4Dlar8BJ2SnvYAAtmvAlWbmZs1nwLPHSUclrjEREaameA04L9_fH2bjNjYJlSGrpYFo7LPogMOlt98tRuaF5KNHgO_QEuFGM49wd8Gwy6V_cX10GVYCFQTuXjgFmFcciNdbJNBNdIokgyLJyka26JNJJKEmtDTWJYiDVT2KJQGoMZ41bjaAc0XFfMLoCaUaupocrzbFxIxBFjQkmUYC6SSKMWOK1HOlUVfdwnwRilJTcZF3RrP1gtcDSr-VwSN36o064nK618Lk9daOc3TyR2xSfFtPzaPu33Ov6799eK-2AZ-3cPxU3HNmhMsldzAJbUdPKYZ4eV5X0CYI_fAQ |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpZ1LSwMxEMeHWgX14FusVo0gelrdZF9ZPBW1VGyLSAt6WvIEQap2a89-BD-jn8RkH7WCguBpD5tASCb5z2R3fgNwKCVjvsahExmtMQGKy51YC-lgQrCMhBdorrNiE1G3S-_u4psKnJW5MDkfYnLhZndGdl7bDW4vpE-nqKGP7MQmN8zArG-syJj37MVts9-eHMRhztw1AY7rBB4JSvasS07Lvt_V6MvFnHZUM6VpLv9rjCuwVDiYqJFbxCpU1GANFjsTOmu6DvcNIYzaWEiERNKY4Dijf3-8veuhUigvKo2MN4sG-SDYEBlrfbLcbqRecjh4iuwVLmIDNPUNfAP6zcveecspSiw4wui871AtCHFjpY1wByyWmGOPU8KMqMtYB1zxiAe-VJEKFXWJpIJo7HKlCKWxlsTbhKoZitoCJGmkZaQiYYk2ximKMaVMcBySmIWexDU4Lqc6EQV_3JbBeExycjLJ-NZ2smpwMGn5nDM3fmhTL1crKXZdmhjnzoZPgW9eH2Xr8mv_pNtu2Of2Xxvuw3yr12kn7avu9Q4sEJsFkf33WIfqaPiqdmFOjEcP6XCvMMNPt8ji8Q |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpZ1LS8QwEMcH3RXRg2_xbQTRU90mfaV4WlyL4rqIKOip5AmCrNque_Yj-Bn9JCZ9rCsoCJ56aAIhmeQ_k3Z-A7AvJWO-xqETGa0xAYrLnVgL6WBCsIyEF2iui2ITUa9H7-7iqwk4rnNhSj7E6MLN7ozivLYbXD1L3Rqjhj6yI5vcMAlN39aQaUCzc53cdkcHcVgyd02A4zqBR4KaPeuSVt33uxp9uZjjjmqhNMn8v8a4AHOVg4napUUswoTqL8Hs5YjOmi_DfVsIozYWEiGRNCY4LOjfH2_vOlMKlUWlkfFmUb8cBMuQsdYny-1G6qWEg-fIXuEi1kdj38BX4DY5vTk5c6oSC44wOu87VAtC3FhpI9wBiyXm2OOUMCPqMtYBVzzigS9VpEJFXSKpIBq7XClCaawl8VahYYai1gBJGmkZqUhYoo1ximJMKRMchyRmoSfxOhzWU52Kij9uy2A8piU5mRR8aztZ67A3avlcMjd-aLNVr1Za7bo8Nc6dDZ8C37w-KNbl1_5pr9u2z42_NtyF6atOknbPexebMENsEkTx2-MWNAbZq9qGKTEcPOTZTmWFn28B4mw |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Accelerated+derivative%E2%80%90free+method+for+nonlinear+monotone+equations+with+an+application&rft.jtitle=Numerical+linear+algebra+with+applications&rft.au=Abdulkarim+Hassan+Ibrahim&rft.au=Kumam%2C+Poom&rft.au=Auwal+Bala%C2%A0Abubakar&rft.au=Adamu%2C+Abubakar&rft.date=2022-05-01&rft.pub=Wiley+Subscription+Services%2C+Inc&rft.eissn=1099-1506&rft.volume=29&rft.issue=3&rft_id=info:doi/10.1002%2Fnla.2424&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1070-5325&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1070-5325&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1070-5325&client=summon |